35 citations · 103 across the 24 of their papers we have counts for
20 papers · 1 filter
Topological insights into Monoids and Module systems
Carmelo Antonio Finocchiaro, Doniyor Yazdonov
In this work, we generalize several topological results and concepts from ring theory to the setting of monoids.
On bi-amalgamated constructions
Federico Campanini, Carmelo Antonio Finocchiaro
Let be ring homomorphisms and let (resp., ) be an ideal of (resp., ) satisfying $f^{-1}(\mathfrak{b…
Some remarks on Prüfer rings with zero-divisors
Federico Campanini, Carmelo Antonio Finocchiaro
Let be the fiber product , where is a surjective ring homomorphism with regular kernel and is a ring extension where is an overring of $…
Distinguished classes of ideal spaces and their topological properties
Carmelo A. Finocchiaro, Amartya Goswami, Dario Spirito
We consider the set of all the ideals of a ring, endowed with the coarse lower topology. The aim of this paper is to study the topological properties of distinguished subspaces of…
Prime ideals in infinite products of commutative rings
Carmelo A. Finocchiaro, Sophie Frisch, Daniel Windisch
We describe the prime ideals and, in particular, the maximal ideals in products of families of commutative rings. We show that every maximal ideal…
Topological properties of semigroup primes of a commutative ring
Carmelo A. Finocchiaro, Marco Fontana, Dario Spirito
A semigroup prime of a commutative ring is a prime ideal of the semigroup . One of the purposes of this paper is to study, from a topological point of view, the spac…